find an equation of the line described below.

kayleenicholemaynard

kayleenicholemaynard

Answered question

2022-09-19

find an equation of the line described below. write the equation in slope-intercept form when possible: 

through (8,6) and (6,8)

Answer & Explanation

madeleinejames20

madeleinejames20

Skilled2023-05-25Added 165 answers

To find the equation of the line passing through the points (8, 6) and (6, 8), we can use the slope-intercept form of a linear equation, which is given as: y=mx+b, where m represents the slope of the line and b represents the y-intercept.
First, let's calculate the slope (m) using the formula: m=y2y1x2x1, where (x1,y1) and (x2,y2) are the coordinates of the two points.
Substituting the given values, we have: m=8668=22=1.
Now that we have the slope, we can proceed to find the y-intercept (b). We can choose either of the given points to substitute into the equation.
Let's use the point (8, 6):
6=1·8+b
Simplifying:
6=8+b
To solve for b, we add 8 to both sides:
6+8=b
b=14
Therefore, the equation of the line in slope-intercept form is: y=x+14.

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